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math-ph2013★ 2 cited
The heat equation shrinks Ising droplets to points
H. Lacoin, F. Simenhaus, F. L. Toninelli
Let D be a bounded, smooth enough domain of R^2. For L>0 consider the continuous time, zero-temperature heat bath dynamics for the nearest-neighbor Ising model on (Z/L)^2 (the squa…
math-ph2010
"Zero" temperature stochastic 3D Ising model and dimer covering fluctuations: a first step towards interface mean curvature motion
Pietro Caputo, Fabio Martinelli, Francois Simenhaus +1
We consider the Glauber dynamics for the Ising model with "+" boundary conditions, at zero temperature or at temperature which goes to zero with the system size (hence the quotatio…